What are the optimal conditions on the domains and the operator to ensure the solvability of boundary values problems for elliptic operators with data in $L^p$?
Dr. Joseph Feneuil
2025-05-27 9:30-10:30
MCM110
Time: 9:30-10:30 May 27, 2025 (Tuesday)
Venue: MCM110
Title: What are the optimal conditions on the domains and the operator to ensure the solvability of boundary values problems for elliptic operators with data in $L^p$?
Abstract: In this talk, I will discuss the necessary and sufficient conditions ensuring the solvability of the Dirichlet boundary value problems (for uniformly elliptic operators) with data in $L^p$ and $W^{1,p}$. I will then address the challenges of extending these results to the Neumann problem and share our progress in this area. This is a joint work with Linhan Li.
Speaker: Dr. Joseph Feneuil (Université Paris-Saclay)
